New developments in quantum spin chains

• Grant number: 17/02987-8
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: June 01, 2017
• End date: May 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Francisco Castilho Alcaraz
• Grantee: Rodrigo Alves Pimenta
• Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 15/23849-7 - Quantum spin chains, AP.TEM

Abstract

We will investigate physical and mathematical properties of quantum spin chains. The focus will be in two aspects of the quantum inverse scattering method. The first one is the development of the modified algebraic Bethe ansatz aiming the construction of the off-shell Bethe vector for, for example, SL(3) spin chains with integrable non-diagonal boundary conditions. The second main problem is the calculation of scalar products and form factors, taking into account recent developments such as in the separation of variables framework. In addition, we will consider related problems and possible applications. (AU)

Scientific publications

(11)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

LIMA-SANTOS, ANTONIO; NEPOMECHIE, RAFAEL I.; PIMENTA, RODRIGO A.. A tale of two Bethe ansatze. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, APR 2018. (17/02987-8, 16/50023-5, 11/18729-1)

ALCARAZ, FRANCISCO C.; PIMENTA, RODRIGO A.. Integrable quantum spin chains with free fermionic and parafermionic spectrum. Physical Review B, v. 102, n. 23, DEC 31 2020. (17/02987-8)

BASEILHAC, PASCAL; CRAMPE, NICOLAS; PIMENTA, RODRIGO A.. Higher rank classical analogs of the Askey-Wilson algebra from the sl(N) Onsager algebra. Journal of Mathematical Physics, v. 60, n. 8, AUG 2019. (17/02987-8)

NEPOMECHIE, RAFAEL I.; PIMENTA, RODRIGO A.; RETORE, ANA L.. Towards the solution of an integrable D-2((2)) spin chain. Journal of Physics A-Mathematical and Theoretical, v. 52, n. 43, OCT 25 2019. (17/03072-3, 17/02987-8, 15/00025-9)

ALCARAZ, FRANCISCO C.; PIMENTA, RODRIGO A.. Integrable quantum spin chains with free fermionic and parafermionic spectrum. PHYSICAL REVIEW B, v. 102, n. 23, p. 13-pg., 2020-12-31. (17/02987-8)

LIMA-SANTOS, ANTONIO; NEPOMECHIE, RAFAEL I.; PIMENTA, RODRIGO A.. A tale of two Bethe ansatze. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, v. N/A, p. 28-pg., 2018-04-01. (17/02987-8, 11/18729-1, 16/50023-5)

ALCARAZ, FRANCISCO C.; PIMENTA, RODRIGO A.. Free fermionic and parafermionic quantum spin chains with multispin interactions. Physical Review B, v. 102, n. 12, SEP 2 2020. (17/02987-8)

BASEILHAC, PASCAL; PIMENTA, RODRIGO A.. Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz. Nuclear Physics B, v. 949, DEC 2019. (17/02987-8)

NEPOMECHIE, RAFAEL I.; PIMENTA, RODRIGO A.. New D-n+1((2)) K-matrices with quantum group symmetry. Journal of Physics A-Mathematical and Theoretical, v. 51, n. 39, SEP 28 2018. (16/50023-5, 17/02987-8)

NEPOMECHIE, RAFAEL I.; PIMENTA, RODRIGO A.; RETORE, ANA L.. The integrable quantum group invariant A2n-1((2)) and Dn+1((2)) open spin chains. Nuclear Physics B, v. 924, p. 86-127, NOV 2017. (16/50023-5, 15/00025-9, 17/03072-3, 17/02987-8, 14/00453-8)

ALCARAZ, FRANCISCO C.; PIMENTA, RODRIGO A.. Free fermionic and parafermionic quantum spin chains with multispin interactions. PHYSICAL REVIEW B, v. 102, n. 12, p. 6-pg., 2020-09-02. (17/02987-8)